We give a brief introduction to nonlinear equations with fractional Laplacian and present some recent work on the study of nonnegative solutions to nonlinear equations with fractional Laplacian. We focus on Bocher type theorems. These Bocher type theorems are used to derive maximum principles on a punctured ball. We also plan to provide some applications.

简介：李从明：中国科技大学学士，中科院硕士，纽约大学博士，上海交通大学讲席教授，美国科罗拉多大学教授，美国数学会会士。